Question

Two number are in the ratio 11.13. Their sum is 120 Find the number​

Answer 1

Given:

• Two numbers are in the ratio 11:13.
• Sum of the two numbers is 120.

To find:

The two numbers.

Solution:

Let x be the common ratio.

So,

Let the first number be 11x.

Let the second number be 13x.

As we are given that the sum of these two numbers is 120. So, the equation formed will be as follows,

11x + 13x = 120

24x = 120

$x = \dfrac{120}{24}$

$\bf \green{x = 5}$

Verification:

On substituting the value of x as 5 in the equation,

11x + 13x = 120

11×5+13×5 = 120

55+65 = 120

120 = 120

LHS = RHS

Hence Verified!

_________________________

_________________________

• First number = 11x

= 11×5

= 55

• Second number = 13x

= 13×5

= 65

Final answer:

Therefore the two numbers are 55 and 65.

Answer 2

Answer:

Given:

Two numbers are in the ratio 11:13.

Sum of the two numbers is 120.

To find:

The two numbers.

Solution:

Let x be the common ratio.

So,

Let the first number be 11x.

Let the second number be 13x.

As we are given that the sum of these two numbers is 120. So, the equation formed will be as follows,

11x + 13x = 120

24x = 120

x = \dfrac{120}{24}x=

24

120

\bf \green{x = 5}x=5

Verification:

On substituting the value of x as 5 in the equation,

11x + 13x = 120

11×5+13×5 = 120

55+65 = 120

120 = 120

LHS = RHS

Hence Verified!

_________________________

_________________________

First number = 11x

= 11×5

= 55

Second number = 13x

= 13×5

= 65

Final answer:

Therefore the two numbers are 55 and 65.